Question

Draw the graph of the equation given below. Also, find the coordinates of the point
where the graph cuts the coordinate axes :  2x + y = 6

Answer 1

we have 

     2x + y = 6

⇒  y = 6 - 2x      ...........   (1)

Putting  x = 3 in (1) , we get  y = 6 = 2 × 3 = 0 

Putting x = 4 in (1) . we get  y = 6 - 2 × 4 = - 2

Thus, we obtain the following table giving coordinates of two points on the line
represented by the equation   2x + y = 6 

Graph of the equation  2x + y = 6